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Finite semifields with a large nucleus and higher secant varieties to Segre varieties

2011
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Advances in Geometry
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In [2] a geometric construction was given of a finite semifield from a certain configuration of two subspaces with respect to a Desarguesian spread in a finite-dimensional vector space over a finite field. Moreover, it was proved that any finite semifield can be obtained in this way. In [7] we proved that the configuration needed for the geometric construction given in [2] for finite semifields is equivalent with an (n−1)-dimensional subspace skew to a determinantal hypersurface in PG(n 2 − 1,

doi:10.1515/advgeom.2011.014
fatcat:y6pe3vvfbfd65cy5vovpxmm7bq